Atkin-Lehner |
2+ 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44744b |
Isogeny class |
Conductor |
44744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-33395489792 = -1 · 210 · 74 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,725,4566] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2646:1] |
Generators of the group modulo torsion |
j |
41156437500/32612783 |
j-invariant |
L |
5.0635755259932 |
L(r)(E,1)/r! |
Ω |
0.75016196303332 |
Real period |
R |
3.3749881862258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89488c2 |
Quadratic twists by: -4 |